TY - GEN
T1 - MIMO broadcast channel rate region with linear precoding at high SNR without full multiplexing
AU - De Kerret, Paul
AU - Joham, Michael
AU - Utschick, Wolfgang
AU - Mathar, Rudolf
PY - 2010
Y1 - 2010
N2 - In this paper, the rate region of the two user MIMO broadcast channel (BC) with linear filtering at high signal-to-noise ratio (SNR) is studied when time sharing is not available and the transmitter has fewer antennas than the sum of the receiving antennas. To reach the boundary of the rate region, the sum rate is maximized subject to a rate ratio constraint. Furthermore, the sum rate is approximated as an affine function of the logarithm of the SNR and the two parameters of this approximation, which are the multiplexing gain (MG) and the rate offset (RO), are derived. This leads directly to the asymptotic rate region, particularly interesting because it is obtained in simple analytical form and offers a good approximation at high but finite SNR. We then consider the rate region boundary at finite SNR and derive algorithmic bounds for it, which are accurate even at intermediate SNR.
AB - In this paper, the rate region of the two user MIMO broadcast channel (BC) with linear filtering at high signal-to-noise ratio (SNR) is studied when time sharing is not available and the transmitter has fewer antennas than the sum of the receiving antennas. To reach the boundary of the rate region, the sum rate is maximized subject to a rate ratio constraint. Furthermore, the sum rate is approximated as an affine function of the logarithm of the SNR and the two parameters of this approximation, which are the multiplexing gain (MG) and the rate offset (RO), are derived. This leads directly to the asymptotic rate region, particularly interesting because it is obtained in simple analytical form and offers a good approximation at high but finite SNR. We then consider the rate region boundary at finite SNR and derive algorithmic bounds for it, which are accurate even at intermediate SNR.
UR - http://www.scopus.com/inward/record.url?scp=78651344910&partnerID=8YFLogxK
U2 - 10.1109/ISITA.2010.5654399
DO - 10.1109/ISITA.2010.5654399
M3 - Conference contribution
AN - SCOPUS:78651344910
SN - 9781424460175
T3 - ISITA/ISSSTA 2010 - 2010 International Symposium on Information Theory and Its Applications
SP - 542
EP - 547
BT - ISITA/ISSSTA 2010 - 2010 International Symposium on Information Theory and Its Applications
T2 - 2010 20th International Symposium on Information Theory and Its Applications, ISITA 2010 and the 2010 20th International Symposium on Spread Spectrum Techniques and Applications, ISSSTA 2010
Y2 - 17 October 2010 through 20 October 2010
ER -